An Iterative Least Square Approach to Elastic-Lidar Retrievals for Well-Characterized Aerosols

An iterative least square method is presented for estimating the solution to the lidar equation. The method requires knowledge of the backscatter values at a boundary point for all channels and a priori defined relationships between backscatter, extinction, and mass-fraction concentration for all scattering components. The lidar equation is formulated in vector form, and a solution is computed using an iterative least square technique. The solution is stable for signals with extremely low signal-to-noise ratios and for signals at ranges far beyond the boundary point. The solution can be applied to lidar signals with an arbitrary number of wavelengths and scattering components.